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Popular >

expand 5+4t-3t^2+3e^-4t-5(sin(4t)+3cos(4t))

Solution

expand

5 + 4 t - 3 t^{2} + 3 e^{-} 4 t - 5 (sin (4 t) + 3 cos (4 t))

Solution

5 + 4 t - 3 t^{2} + 12 e^{-} t - 5 sin (4 t) - 15 cos (4 t)

Solution steps

5 + 4 t - 3 t^{2} + 3 e^{-} \cdot 4 t - 5 (sin (4 t) + 3 cos (4 t))

= 5 + 4 t - 3 t^{2} + 3 \cdot 4 e^{-} t - 5 (sin (4 t) + 3 cos (4 t))

Expand

- 5 (sin (4 t) + 3 cos (4 t)) : - 5 sin (4 t) - 15 cos (4 t)

= 5 + 4 t - 3 t^{2} + 3 e^{-} \cdot 4 t - 5 sin (4 t) - 15 cos (4 t)

Multiply the numbers:

3 \cdot 4 = 12

= 5 + 4 t - 3 t^{2} + 12 e^{-} t - 5 sin (4 t) - 15 cos (4 t)

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Frequently Asked Questions (FAQ)

What is expand 5+4t-3t^2+3e^-4t-5(sin(4t)+3cos(4t)) ?
The solution to expand 5+4t-3t^2+3e^-4t-5(sin(4t)+3cos(4t)) is 5+4t-3t^2+12e^-t-5sin(4t)-15cos(4t)